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Fractions decimals and percentages year 8

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• Take account of feedback and learn from mistakes
• Express a smaller whole number as a fraction of a larger one; simplify fractions by cancelling all common factors and identify equivalent fractions; convert terminating decimals to fractions, e.g. 0.23 = 23/100; use diagrams to compare two or more simple fractions
• Add and subtract simple fractions and those with common denominators; calculate simple fractions of quantities and measurements (whole-number answers); multiply a fraction by an integer
• Understand percentage as the ‘number of parts per 100’; calculate simple percentages and use percentages to compare simple proportions
• Recognise the equivalence of percentages, fractions and decimals
Most
• Make connections with related contexts
• Estimate, approximate and check working
• Recognise that a recurring decimal is a fraction; use division to convert a fraction to a decimal; order fractions by writing them with a common denominator or by converting them to decimals
• Add and subtract fractions by writing them with a common denominator; calculate fractions of quantities (fraction answers); multiply and divide an integer by a fraction
• Interpret percentage as the operator ‘so many hundredths of’ and express one given number as a percentage of another; calculate percentages and find the outcome of a given percentage increase or decrease
• Use the equivalence of fractions, decimals and percentages to compare proportions
Some
• Use connections with related contexts to improve the analysis of a situation or problem
• Understand the equivalence of simple algebraic fractions; know that a recurring decimal is an exact fraction
• Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing
• Recognise when fractions or percentages are needed to compare proportions; solve problems involving percentage changes
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